# Questions tagged [complex-networks]

The complex-networks tag has no usage guidance.

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### what is the computational complexity of Louvain algorithm?

I am not able to find out the computational complexity of the Louvain Algorithm. Can anyone here help me? link of the paper given below:
DOI: 10.1088/1742-5468/2008/10/P10008
https://doi.org/10.1038/...

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### Random subgraph properties

Consider a graph $G$ of $N$ vertices and $M$ edges, and assume $G$ has typical complex network properties: it is not necessarily connected, but it has a high clustering coefficient and a giant ...

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### How much algebra is preferable for studying/doing research in dynamical/complex system and networks

I asked this question earlier on Mathematics StackExchange (link), but I think it might be better to put it here.
This question seems quite broad to ask...
The situation here is that I'm a second-...

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### The topological complexity of polytopes

Polytopes arise naturally when modelling fundamental structures in Biology such as RNA and proteins [1,2]. Recently, it occurred to me that a complexity measure on the topology of polytopes might be ...

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### Research-level blogs on complex networks:

I'm an applied mathematician that has a research interest in complex networks for modelling biological systems and I wondered whether the MathOverflow community might know of research-level blogs that ...

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### Adjacency definition for a directed graph

For an undirected graph, we know that nodes are adjacent to each other if there is a link that connects them. What about adjacency for directed graphs? Is it based on:
outgoing links: node $n$ is ...